Tool to list the possible positions of a cube. A die is a cube with 6 differentiated faces, it can be defined by its visible faces so as to know its possible orientations / rotations.
Cube Rotation - dCode
Tag(s) : Fun
dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!
Sponsored ads
This script has been updated, please report any problems.
Tool to list the possible positions of a cube. A die is a cube with 6 differentiated faces, it can be defined by its visible faces so as to know its possible orientations / rotations.
Place the cube on one side and orient it according to the 4 directions. Move to the next position (other side). And so on.
Example:
- | 1 | - |
5 | 4 | 2 |
- | 6 | - |
- | 3 | - |
The die can fall on one of the 6 faces possible and be oriented according to 4 angles, or 24 possibilities. $$ 6 \times 4 = 24 $$
There are 4 types of rotation:
- Rotation according to the diagonals
- Rotation along the axis connecting the centers of 2 opposite faces
- Rotation along the axis connecting the centers of 2 opposite edges
- Identity rotation (original stationary state)
A cube whose faces are undifferentiated with 13 axes of symmetries:
- 3 axes pass through the centers of the faces, a cube has 6 faces, so 3 axes
- 6 axes pass through the centers of the opposite edges, a cube has 12 edges, so 6 axes
- 4 axes go through the opposite corners, a cube has 8 angles, so 4 axes
dCode retains ownership of the source code of the script Cube Rotation online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the online Cube Rotation script for offline use, for you, your company or association, see you on contact page !